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Finding the Third Proportional to 3,218,391,112 and 6,949,624,976

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Solution

The third proportional to 3,218,391,112 and 6,949,624,976 is: 15,006,655,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218,391,112 : 6,949,624,976 = 6,949,624,976 : x
  2. Step 2: Convert to fraction form
    3,218,391,112/6,949,624,976 = 6,949,624,976/x
  3. Step 3: Cross multiply
    3,218,391,112x = 6,949,624,976 × 6,949,624,976
  4. Step 4: Simplify right side
    3,218,391,112x = 48,297,287,307,043,004,416
  5. Step 5: Solve for x
    x = 48,297,287,307,043,004,416/3,218,391,112
  6. Step 6: Final answer
    x = 15,006,655,694.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.